2628723939556 has 81 divisors (see below), whose sum is σ = 5476338695163. Its totient is φ = 1102766533440.

The previous prime is 2628723939511. The next prime is 2628723939607. The reversal of 2628723939556 is 6559393278262.

The square root of 2628723939556 is 1621334.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 996503062500 + 1632220877056 = 998250^2 + 1277584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2628723939491 and 2628723939500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 463698690 + ... + 463704358.

Almost surely, 2^{2628723939556} is an apocalyptic number.

2628723939556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2628723939556 is the 1621334-th square number.

It is an amenable number.

2628723939556 is an abundant number, since it is smaller than the sum of its proper divisors (2847614755607).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2628723939556 is an equidigital number, since it uses as much as digits as its factorization.

2628723939556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 5695 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 67.

The spelling of 2628723939556 in words is "two trillion, six hundred twenty-eight billion, seven hundred twenty-three million, nine hundred thirty-nine thousand, five hundred fifty-six".